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Poland - Second Round
1996 Poland - Second Round
5
5
Part of
1996 Poland - Second Round
Problems
(1)
x^2(y-1)+y^2(x-1) = 1 diophantine
Source: Polish second round 1996 p5
1/19/2020
Find all integers
x
,
y
x,y
x
,
y
such that
x
2
(
y
−
1
)
+
y
2
(
x
−
1
)
=
1
x^2(y-1)+y^2(x-1) = 1
x
2
(
y
−
1
)
+
y
2
(
x
−
1
)
=
1
.
number theory
diophantine
Diophantine equation